[kutkloon7]

Oh wait, is it for a PhD program? Then it is pretty easy indeed. Although I would still possibly choke on proving that the surface area equals that formula.

I mean, are you supposed to use the standard formula for surface of revolutions (https://en.wikipedia.org/wiki/Surface_of_revolution#Area_for...)? Are you supposed to derive this formula yourself?

Strictly speaking, I don't even know the definition of surface.